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arXiv:hep-ph/9703424·v3·High Energy Physics — Phenomenology

Towards systematic near-threshold calculations in perturbative QFT

Fyodor V. Tkachov🇷🇺

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Abstract

For any near-threshold asymptotic regime and for any Feynman diagram (involving loop and/or phase space integrals), a systematic prescription for explicitly constructing all-logs, all-powers (all-twists) expansions in perfectly factorized form with explicit integrals for coefficients, is presented. The distribution-theoretic nature of the method of asymptotic operation employed allows treatment of totally exclusive phase space in the same manner as loop integrals.

Comments: 8 PS; 04.06.97: added universal definition of the scaling exponent n_kappa + misprints corrected; 07.11.98: maintenance

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